The following data represent the number of housing starts predicted for the 2nd quarter (April through June) of 2014 for a random sample of 40 economists.

984 1260 1009 992 975 993 1025 1164 1060
992 1100 942 1050 1047 1000 938 1035 1030
964 970 1061 1067 1100 1095 976 1012 1038
929 920 996 990 1095 1178 1017 980 1125
964 888 946 1004

Required:
a. Draw a histogram of the data.
b. Construct a 95 % confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014.
c. Construct a 90% confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014

Answers

Answer 1

Answer:

Kindly check attached picture ;

(999.494 ; 1046.056) ;

(1003.235 ; 1042.315)

Step-by-step explanation:

Given the data:

888, 920, 929, 938, 942, 946, 964, 964, 970, 975, 976, 980, 984, 990, 992, 992, 993, 996, 1000, 1004, 1009, 1012, 1017, 1025, 1030, 1035, 1038, 1047, 1050, 1060, 1061, 1067, 1095, 1095, 1100, 1100, 1125, 1164, 1178, 1260

Using calculator to obtain the mean and standard deviation :

Mean, x = 1022.775

Standard deviation, s = 75.124

Sample size, n = 40

Zcritical at 95% = 1.96

Zcritical at 90% = 1.645

Using the relation :

x ± E

E = error margin = Zcritical * s / sqrt(n)

At 95% ;

Error margin = 1.96 * 75.124/ sqrt(40) = 23.281

At 90% ;

Error margin = 1.645 * 75.124/ sqrt(40) = 19.540

Confidence interval at 95%:

(1022.775 - 23.281) ;(1022.775 + 23.281)

(999.494 ; 1046.056)

Confidence interval at 90%:

(1022.775 - 19.540) ;(1022.775 + 19.540)

(1003.235 ; 1042.315)

The Following Data Represent The Number Of Housing Starts Predicted For The 2nd Quarter (April Through

Related Questions

Please answer each question truthfully or I will report you

Answers

Answer:

1. 17.6

2. 8.8

3. 4.79

4. 3.92

Answer:

33: 17.6

34: 8.8

35: 4.79

36: 3.92

Step-by-step explanation:

Please note that threatening people isn't the best way to get them to help! Thx!

Katie wants to collect over a hundred seashells she already has 34 seashells in her collection each day she finds 12 more seashells on the beach Katie can use fractions of days to find seashells write an equality to determine the number of days D it will take Katie to collect over a 100 seashells. no explanation needed​

Answers

Answer:

6

Step-by-step explanation:

it’s 6 im very good in math

help me pleaseeeee !

Answers

Answer:

81 Degrees

Step-by-step explanation:

The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81

So the answer is 81 degrees.

Please help me if not that’s ight

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Parts of the Arctic have 21 hours of daylight each summer day. What
fraction of the day is dark? Show your work. Write your answer in lowest
terms.

ok so can someone please answer because this is for a test​

Answers

Answer:Parts of the Arctic have 21 hours of daylight each summer day. What fraction of the day is dark? Show your work. Write your answer in lowest

terms.

Step-by-step explanation: 24 hours

Day Length. Day length varies with the time of year and the latitude at which you are situated. Because of the earth's tilt, areas above the Arctic Circle receive 24 hours of sunlight each summer, but 24 hours of darkness each winter.

What is the 3rd quartile in the following data set? You may want to draw a box & whisker plot
to find the 3rd quartile. *
(5 Points)
{5, 16, 12, 3, 20, 15, 8)
16
12
15
5

Answers

Answer:

16

Step-by-step explanation:

Arrange date in order

3,5,8,12,15,16,20

find median  in this case its 12 also khown as 2nd quartile know  find the themedian of data that is on the right right of median or 2nd Quartiles  That will be the 3rd quartile...

b) The radius of a bicycle wheel is 50cm. In one-ninth of a second, it turns through 80°
about its center, which is fixed. How many kilometers does a point on the rim of the
wheel travel in one hour?​

Answers

Answer:

Given data:

Radius r = 50cm

Time taken by the wheel to turn 80 degree = 1/9 seconds

= > In one second, wheel turns 720 degree

We know that one revolution is 360 degree

Therefore in one second, it takes 2 revolutions

In one hour i.e. 3600 seconds, it takes 7200 revolutions

Distance travelled by the wheel in one revolution is equal to the circumference of the wheel.

Distance travelled in one revolution = 2 π r = 2 π x 50 = 100 π cm

Distance travelled in one hour i.e. for 7200 revolution = 720000 π cm

So, distance travelled by the point on the rim of the wheel in an hour = 7.2 π km = 22.6 km

Step-by-step explanation:

A new car is purchased for 20000 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5700 dollars?

Answers

The number of years before the new car becomes $5700 is 11.4 years.

How long would it take the value of the car to become $5700?

Depreciation is when the value of an asset declines with the passage of time.

Number of years = (In FV / PV) / r

r = rate of depreciation FV = future value of the carPV = purchase value of the car

(IN 5700 / 20,000) / 0.11 = 11.4 years

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I need to know 2, 3, and 4.

Answers

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m = [tex]\frac{10}{16}[/tex]

m = [tex]\frac{5}{8}[/tex]

y-intercept = 20

Therefore, equation of the line 'a' is,

y = [tex]\frac{5}{8}x+20[/tex]

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m' = [tex]\frac{20}{16}[/tex]

m' = [tex]\frac{5}{4}[/tex]

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = [tex]\frac{5}{4}x[/tex]

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE

Which expression is equivalent to 6x - 3y?

2 (3x - 2y)

3 (2x - y)

-2 (3x - 2y)

-3 (2x - y)

Answers

3(2x-y)
because if you multiply on both sides it equals 6x-3x
3 (2x - y). This is because you would multiply 2x and y by 3 giving you 6x - 3y

HELP PLS QUICK MIGHT GIVE BRAINLIST ONLY IF 2 PEOPLE ANSWER!

Answers

Answer:

area = 10 squares units

if points changes

In the graph above, what's the distance between (-1,-4) and (-1,5)?
A) 1 unit
B) 9 units
C) -9 units
D) 7 units
1:44 AM

Answers

B) 9 units because they have the same x value meaning you just count the spaces so 5 to 0 and 0 to -4 so 9 units, you can’t have negative units away

Camden is going to invest $600 and leave it in an account for 12 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for Camden to
end up with $920?

Answers

Answer:

zjzjzjznnznzkznnznzidddx

Answer:

3.56

Step-by-step explanation:

just did it on delta math

FREE BRAINLIST NEED HELP ASAP

Answers

Answer is A. See photo below.

Please help thank you!!!!!!

Answers

H : because each square contains 100 blocks so the two boxes would be 200 together and as you see one square has all blocks shaded ( 100% ) and then has another 100 block with only 40% shaded in 100% + 40% = 140%

STD 10

maths

If the roots of the equation 9x2 – (2k – 5)x – 25 = 0 are additive inverse ( opposite),

then k = ………… .


(a) 0 (b) 1 (c) -5/2 (d) 5/2​

Answers

Answer:

k = 5/2

Step-by-step explanation:

.....................

bens parents gave him 20 dollars to buy food from convienience store. Ben is a simple person.He wants to buy one bottle of peach tea that cost .99 dollars and spend the rest of the money to buy as many takis as he can(each bag cost 2.24 dollars)

Write an inequality that helps determine the number of bag of takis ,t, that ben can buy

Answers

Answer:

to eat a healthier meal

Step-by-step explanation:

hope this helps :)

plz give me brainlist

The difference of two numbers is 14.Twice the smaller is 6 more than the larger.Find the numbers.

Answers

the numbers are 6 2/3 and 7 1/3

I need halp with one is it?

Answers

Answer: 66ft

Step-by-step explanation:

9 x 5 = 45 + 7 x 3 = 21

45+21=66

Answer:

I am pretty sure it is 66 ft

Step-by-step explanation:

If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66

19. Quadrilateral ABCD is a parallelogram. What is the measure of ZDAB? Show your work.

A

B.

5x-3

3x+17

D

С

Answers

Answer:

∠DAB = 133°

Step-by-step explanation:

Given - Quadrilateral ABCD is a parallelogram. ∠D = 3x + 17, ∠B = 5x - 3

To find - What is the measure of ∠DAB?

Proof -

We know that In a parallelogram, opposite angles are equal.

So, ∠A = ∠C and ∠B = ∠D

Now,

As ∠B = ∠D

⇒3x + 17 = 5x - 3

⇒17 + 3 = 5x - 3x

⇒20 = 2x

⇒x = 10

So,

∠B = 5(10) - 3 = 50 - 3 = 47

⇒∠B = 47°

Also, we know that

∠A + ∠B = 180°

⇒∠A = 180° - ∠B

⇒∠A = 180° - 47° = 133°

⇒∠A = 133°

⇒∠DAB = 133°

What decimal is equivalent to 8/40?

Answers

Answer:

0.20

Step-by-step explanation:

8 divided by 40 equals 0.2

0.20 is the decimal is equivalent to 8/40.

What is decimal?

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given:

Fraction = 8/40

Now, simplifying the given fraction

8/40

= 8/( 8x 5)

= 1/5

=0.20

Hence, 0.20 is the decimal is equivalent to 8/40.

Learn more about decimal here:

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Please help ill give brainliest

Write and solve equations for the following scenarios:

5) angles 1 and 2 are supplementary. The measure of angle one is 64 degrees larger than the measure of angle 2.

6) The complement of an angle is 20 degrees more than the measure of the angle itself.

7) two angles are complementary. One angle is 49 degrees. What is the measure of the other angle? ​

Answers

Answer:

7) =41 (5) Angle one is 154 and Angle two is 26 or atleast what it should be

Step-by-step explanation:A complementary angle is 90 degrees in total,so you do 90-49=41. I do not know about question 6 tho.

(2x - 3)2 + 5(3 - 2x) - 14​

Answers

Answer:

-6x-5

Step-by-step explanation:

(2x - 3)2 + 5(3 - 2x) - 14​

Distribute

2x*2 -3*2 +5*3 -5*2x -14

4x -6 +15 -10x -14

Combine like terms

4x -10x   -6 +15-14

-6x                 -5

For the following right triangle, find the side length x.
15

Answers

Answer: 17

Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

8^2+15^2=c^2

64+225=c^2

289=c^2

Now square both sides

x=17

Answer:

x = 17

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 8^{2} + 15^{2}[/tex]

[tex]c^{2} = 64 + 225[/tex]

[tex]c^{2} = 289[/tex]

[tex]\sqrt{c^2} = \sqrt{289}[/tex]

[tex]c = 17[/tex]

A robot can complete 3 tasks in 5/6 hour. Each task takes the same amount of time. It takes the robot 5/18 hour(s) to complete one task. How many tasks can the robot complete in one hour.

Answers

Answer:17/4
Explanation multiply 5/18 to 3

The measure of an angle is 149.5°. What is the measure of its supplementary angle?

Answers

Answer:

30.5°

Step-by-step explanation:

Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.

Measure of its supplementary angle = 180° - 149.5°

                                                             = 30.5°

Five family members are going to a play. A service charge of $2 is added to the cost of each ticket. The family is willing to pay $250 or less for the five tickets. What is the greatest amount the family is willing to pay for each ticket? PLEASEE HELPPP ME

Answers

five family members so 250 Divided by 5 is 50 so a maximum of $50

250 ÷5 = 50

$50

Hope this helps!

plsss help ASAP !! giving the brainlest answer to whoever can help me out?? plsss

Answers

Answer:

The 2nd one

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because when you work it out it becomes that,

 have a spectacular day

The probability distribution for a
random variable x is given in the table.
-10
-5
0
5
10
15
20
Probability
.20
.15
.05
.1
.25
.1
.15
Find the probability that x = -10

Answers

Answer:

.20

Step-by-step explanation:

According to what are written in the table the probability for x=-10 is .20

The probability distribution  at x= -10 is 0.20.

What is Probability distribution?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

Given:

We have table as,

x                  -10    -5      0      5      10    15     20

Probability 0.20 0.15 0.05 0.10 0.25 0.10 0.15

So , we have to find probability that x = -10 then by looking at table the corresponding value to x= -10 the probability is 0.20.

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A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which is the driver's seat). One of the 8 people will have to drive, but only 4 of the people are licensed to drive the van. In how many different ways could the people seat themselves in the van so that they have a licensed driver

Answers

Answer:

The people can seat themselves in 20160 different ways.

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by the following formula:

[tex]A_{n} = n![/tex]

In this question:

For the first seat, that is, the driver seat, 4 possible people can sit.

For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

[tex]T = 4*7! = 4*5040 = 20160[/tex]

The people can seat themselves in 20160 different ways.

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